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Finding the Fourth Proportional to 137,138.27, 189,268.31 and 76,712.27

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Solution

The fourth proportional to 137,138.27, 189,268.31 and 76,712.27 is: 105,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.27 : 189,268.31 = 76,712.27 : x
  2. Step 2: Convert to fraction form
    137,138.27/189,268.31 = 76,712.27/x
  3. Step 3: Cross multiply
    137,138.27x = 189,268.31 × 76,712.27
  4. Step 4: Simplify right side
    137,138.27x = 14,519,200,944.60
  5. Step 5: Solve for x
    x = 14,519,200,944.60/137,138.27
  6. Step 6: Final answer
    x = 105,872.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.